Dirichlet Problem

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Dirichlet problem

[‚dē·rē′klā ‚präb·ləm]
(mathematics)
To determine a solution to Laplace's equation which satisfies certain conditions in a region and on its boundary.

Dirichlet Problem

 

(named after P. G. L. Dirichlet), the problem of finding a harmonic function from its values given on the boundary of the region under consideration.

References in periodicals archive ?
Among the topics are arithmetic and topology in the complex plane, holomorphic functions and differential forms, isolated singularities of holomorphic functions, harmonic functions, the Riemann mapping theorem and Dirichlet's problem, and the complex Fourier transform.
A natural inference mechanism is presented : the Black Box problem is transformed into a Dirichlet's problem on the closed cube.
BRAMBLE, The Lagrangian multiplier method for Dirichlet's problem, Math.